On the Heisenberg algebra associated with the rational $R$-matrix
Marijana Butorac, Slaven Ko\v{z}i\'c
TL;DR
This paper introduces a deformation of the Heisenberg algebra linked to the Yang R-matrix, explores its properties, and constructs new quantum vertex algebras with similar representation theory.
Contribution
It presents a novel deformation of the Heisenberg algebra based on the Yang R-matrix and constructs related quantum vertex algebras with equivalent representation theory.
Findings
Deformation of Heisenberg algebra associated with the Yang R-matrix.
Construction of new quantum vertex algebras.
Analysis of the properties and representation theory of the deformed algebra.
Abstract
We associate a deformation of Heisenberg algebra to the suitably normalized Yang -matrix and we investigate its properties. Moreover, we construct new examples of quantum vertex algebras which possess the same representation theory as the aforementioned deformed Heisenberg algebra.
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